Lipschitz functions on Banach spaces which are actually defined on Asplund spaces

DOI10.1007/BF02882943zbMath0909.46013OpenAlexW1977158782MaRDI QIDQ1387483

Shuzhong Shi, Li Xing Cheng

Publication date: 8 April 1999

Published in: Chinese Science Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02882943

zbMATH Keywords

Fréchet differentiableRadon-Nikodým propertyClarke subdifferentialsupport functionLipschitz functionAsplund space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (1)

Generic Fréchet differentiability of convex functions dominated by a lower semicontinuous convex function

Cites Work

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• Differentiability of Lipschitz functions on Banach spaces
• Generalized gradients of Lipschitz functionals
• Convex functions, monotone operators and differentiability
• Banach spaces which are Asplund spaces
• The duality between Asplund spaces and spaces with the Radon-Nikodym property
• Extensions of the Preiss differentiability theorem
• Geometric aspects of convex sets with the Radon-Nikodym property
• Fréchet differentiability of convex functions

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